Properties

Label 17136bc
Number of curves $1$
Conductor $17136$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 17136bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17136.p1 17136bc1 \([0, 0, 0, 312, 2284]\) \(17997824/22491\) \(-4197360384\) \([]\) \(9216\) \(0.53253\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17136bc1 has rank \(2\).

Complex multiplication

The elliptic curves in class 17136bc do not have complex multiplication.

Modular form 17136.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} - q^{11} - 7 q^{13} + q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display